This preprint was accepted November 27, 2006
ABSTRACT: We construct an analogue of the Livernet--Loday operad for two compatible brackets. The Livernet--Loday operad can be used to define *-products and deformation quantization for Poisson structures. We make use of our operad in the same way, introducing a definition of (operadic) deformation quantization of compatible Poisson structures. [Full text: (.ps.gz)]
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